Let three of equal radius a circles as drawn below be inscri

Let three of equal radius a circles as drawn below be inscribed into the unit circle. How large is the shaded area?

Solution

Solution: given radius of inscribed circle is 1 unit and thrice the radius of large circle

area of shaded region is=area of large circle-3*area of inscribed circle

                                      =pi*3²-3*pi*1²

                                                      =9pi-3pi=18.85 unit